A slanting line down from left to right represents an acceleration on the velocity time graph.
When the acceleration of a particle is constant, the velocity will be increasing at a constant rate. This means that the velocity versus time graph will appear with a straight line "slanting up to the right" in the first quadrant. With time on the x-axis and velocity of the y-axis, as time increases, velocity will increase. That means the line will have a positive slope. The higher the (constant) acceleration, the greater the slope of the line. If we take just one example and mark equal units off on our axes, and then assign seconds along the x-axis and meters per second along the y-axis, we can plot a graph for an acceleration of, say, one meter per second per second. Start at (0,0) and at the end of one second, the velocity will be one m/sec. That point will be (1,1). After another second, the velocity will be 2 m/sec owing to that 1m/sec2 rate of acceleration, and that point will be (2,2). The slope of the line is 1, which is the rate of acceleration.
Any curved line will indicate a change in acceleration. Straight lines with slope indicate a steady velocity and straight lines with zero slope indicate a lack of motion.If the X axis (left to right) is for time and the Y axis (up and down) is for speed, it would curve up.
It is radial the velocity in a direction towards or away from a fixed point of reference (the origin) at a given time. The velocity time graph takes no account of motion in a direction across the radial direction.
It represents that the object is remaining at a fixed distance. Typically that means it is not moving.
The steepness is usually referred to as the slope,usually being a fraction, like 5/2. The numerator represents the rise, and the denominator represents the run. Typically, this is remembered by rise over run. One must count, for this example, up 5 units and to the right 2 units to find the next point on the line.
A straight line with a gradient > 0 represents a constant rate of acceleration.
If the line slants up and to the right, it has a positive slope. If it is slanting up and to the left, it has a negative slope.
slanting. neither a right angle or a multiple of it.
Normally a position-time graph is actually a distance-time graph where the distance of an object is measured from a fixed point called the origin. The slope (gradient) of the graph is the radial velocity - or the component of the velocity in the radial direction - of the object. That is, the component of the object's velocity in the direction towards or away from the origin. Such a graph cannot be used to measure the component of the velocity at right angles to the radial direction. In particular, an object going around in a circle would appear t have no velocity since its distance from the origin remains constant.
If the graph is a straight line through the origin, sloping upwards to the right, then it is a proportional linear relationship.
When the acceleration of a particle is constant, the velocity will be increasing at a constant rate. This means that the velocity versus time graph will appear with a straight line "slanting up to the right" in the first quadrant. With time on the x-axis and velocity of the y-axis, as time increases, velocity will increase. That means the line will have a positive slope. The higher the (constant) acceleration, the greater the slope of the line. If we take just one example and mark equal units off on our axes, and then assign seconds along the x-axis and meters per second along the y-axis, we can plot a graph for an acceleration of, say, one meter per second per second. Start at (0,0) and at the end of one second, the velocity will be one m/sec. That point will be (1,1). After another second, the velocity will be 2 m/sec owing to that 1m/sec2 rate of acceleration, and that point will be (2,2). The slope of the line is 1, which is the rate of acceleration.
A positive slope on a velocity-time graph indicates that the object is moving in the positive direction (e.g., right or up) and experiencing a constant acceleration. The steeper the slope, the greater the acceleration of the object.
roman
An upward sloping straight line.
Any curved line will indicate a change in acceleration. Straight lines with slope indicate a steady velocity and straight lines with zero slope indicate a lack of motion.If the X axis (left to right) is for time and the Y axis (up and down) is for speed, it would curve up.
If scales are too big, the right picture to represent an item displayed on a graph is not used, or if the graph doesn't start on zero, all are ways the data can be misrepresented!
It is radial the velocity in a direction towards or away from a fixed point of reference (the origin) at a given time. The velocity time graph takes no account of motion in a direction across the radial direction.